How do you find the variation constant and an equation of variation where y varies directly as x and y= 18 when x=2?

Answer 1

Every variation equation is of the form #y = mx# where #m# is a constant value (it is the same for all pairs #(x,y)# that are valid solutions to the equation)

We are given that #18 = m xx 2# which implies #m=9#

that is the equation of direct variation is #y=9x#

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Answer 2

Avery Alexander

To find the variation constant ( k ), substitute the given values into the equation ( y = kx ). Then solve for ( k ). Once you have ( k ), you can write the equation of variation as ( y = kx ). Given that ( y = 18 ) when ( x = 2 ), substitute these values into the equation ( y = kx ) to find ( k ). ( k = \frac{y}{x} = \frac{18}{2} = 9 ). Therefore, the equation of variation is ( y = 9x ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.